What is the Greatest Common Factor of 42920 and 42938?

Greatest common factor (GCF) of 42920 and 42938 is 2.

GCF(42920,42938) = 2

We will now calculate the prime factors of 42920 and 42938, than find the greatest common factor (greatest common divisor (gcd)) of the numbers by matching the biggest common factor of 42920 and 42938.

How to find the GCF of 42920 and 42938?

We will first find the prime factorization of 42920 and 42938. After we will calculate the factors of 42920 and 42938 and find the biggest common factor number .

Step-1: Prime Factorization of 42920

Prime factors of 42920 are 2, 5, 29, 37. Prime factorization of 42920 in exponential form is:

42920 = 2³ × 5¹ × 29¹ × 37¹

Step-2: Prime Factorization of 42938

Prime factors of 42938 are 2, 7, 3067. Prime factorization of 42938 in exponential form is:

42938 = 2¹ × 7¹ × 3067¹

Step-3: Factors of 42920

List of positive integer factors of 42920 that divides 42920 without a remainder.

1, 2, 4, 5, 8, 10, 20, 29, 37, 40, 58, 74, 116, 145, 148, 185, 232, 290, 296, 370, 580, 740, 1073, 1160, 1480, 2146, 4292, 5365, 8584, 10730, 21460

Step-4: Factors of 42938

List of positive integer factors of 42938 that divides 42920 without a remainder.

1, 2, 7, 14, 3067, 6134, 21469

Final Step: Biggest Common Factor Number

We found the factors and prime factorization of 42920 and 42938. The biggest common factor number is the GCF number.
So the greatest common factor 42920 and 42938 is 2.

Also check out the Least Common Multiple of 42920 and 42938